[BOOK][B] Game-theoretical models in biology
Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology,
Second Edition presents both abstract and practical mathematical models of real biological …
Second Edition presents both abstract and practical mathematical models of real biological …
Fast and strong amplifiers of natural selection
Selection and random drift determine the probability that novel mutations fixate in a
population. Population structure is known to affect the dynamics of the evolutionary process …
population. Population structure is known to affect the dynamics of the evolutionary process …
Population structure determines the tradeoff between fixation probability and fixation time
The rate of biological evolution depends on the fixation probability and on the fixation time of
new mutants. Intensive research has focused on identifying population structures that …
new mutants. Intensive research has focused on identifying population structures that …
Evolutionary dynamics of mutants that modify population structure
Natural selection is usually studied between mutants that differ in reproductive rate, but are
subject to the same population structure. Here we explore how natural selection acts on …
subject to the same population structure. Here we explore how natural selection acts on …
Limits on amplifiers of natural selection under death-Birth updating
The fixation probability of a single mutant invading a population of residents is among the
most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are …
most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are …
Construction of arbitrarily strong amplifiers of natural selection using evolutionary graph theory
Because of the intrinsic randomness of the evolutionary process, a mutant with a fitness
advantage has some chance to be selected but no certainty. Any experiment that searches …
advantage has some chance to be selected but no certainty. Any experiment that searches …
Coexistence times in the Moran process with environmental heterogeneity
Populations evolve in spatially heterogeneous environments. While a certain trait might
bring a fitness advantage in some patch of the environment, a different trait might be …
bring a fitness advantage in some patch of the environment, a different trait might be …
Fixation dynamics on hypergraphs
Hypergraphs have been a useful tool for analyzing population dynamics such as opinion
formation and the public goods game occurring in overlap** groups of individuals. In the …
formation and the public goods game occurring in overlap** groups of individuals. In the …
Density amplifiers of cooperation for spatial games
Spatial games provide a simple and elegant mathematical model to study the evolution of
cooperation in networks. In spatial games, individuals reside in vertices, adopt simple …
cooperation in networks. In spatial games, individuals reside in vertices, adopt simple …
Amplification on undirected population structures: comets beat stars
The fixation probability is the probability that a new mutant introduced in a homogeneous
population eventually takes over the entire population. The fixation probability is a …
population eventually takes over the entire population. The fixation probability is a …